R. Ignat

most citedLifting of

RP^{d - 1}

-valued maps in

B V

and applications to uniaxial

Q

-tensors. With an appendix on an intrinsic

B V

-energy for manifold-valued maps

5 citations · 6 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2019

A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips

Radu Ignat, Antonin Monteil

Given a bounded Lipschitz domain $ω \subset R^{d - 1}$ and a lower semicontinuous function $W : R^{N} \to R_{+} \cup {+ \infty}$ that vanishes on a finite set and tha…

math.AP2019★ 1 cited

Global uniform estimate for the modulus of $2 D$ Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy

Radu Ignat, Matthias Kurzke, Xavier Lamy

For $ε > 0$ , let $u_{ε} : Ω \to R^{2}$ be a solution of the Ginzburg-Landau system $- Δ u_{ε} = \frac{1}{ε ^{2}} u_{ε} (1 - ∣ u_{ε} ∣^{2})$ …

math.AP2017

The magnetization ripple: a nonlocal stochastic PDE perspective

Radu Ignat, Felix Otto

The magnetization ripple is a microstructure formed by the magnetization in a thin-film ferromagnet. It is triggered by the random orientation of the grains in the poly-crystalline…

math.FA2017★ 5 cited

Lifting of $RP^{d - 1}$ -valued maps in $B V$ and applications to uniaxial $Q$ -tensors. With an appendix on an intrinsic $B V$ -energy for manifold-valued maps

Radu Ignat, Xavier Lamy

We prove that a $B V$ map with values into the projective space $RP^{d - 1}$ has a $B V$ lifting with values into the unit sphere $S^{d - 1}$ that satisfies an optimal $…

math.AP2017

Interaction energy between vortices of vector fields on Riemannian surfaces

Radu Ignat, Robert L. Jerrard

We study a variational Ginzburg-Landau type model depending on a small parameter $ε > 0$ for (tangent) vector fields on a $2$ -dimensional Riemannian surface. As $ε \to 0$ , the vector…